72344448 has 192 divisors, whose sum is σ = 236048400. Its totient is φ = 21795840.

The previous prime is 72344429. The next prime is 72344449. The reversal of 72344448 is 84444327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×72344448³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72344449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418090 + ... + 418262.

Almost surely, 2^72344448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118024200).

72344448 is an abundant number, since it is smaller than the sum of its proper divisors (163703952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72344448 is a wasteful number, since it uses less digits than its factorization.

72344448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 72344448 is about 8505.5539502139. The cubic root of 72344448 is about 416.6791175657.

The spelling of 72344448 in words is "seventy-two million, three hundred forty-four thousand, four hundred forty-eight".